关于梯度 h-Ricci 孤立子的刚性研究

Study on the Rigidity of Gradient h-RicciSolitons

本文研究了梯度 h-Ricci 孤立子的数量曲率有上界时,数量曲率是常数的结果,同时,证明了在一定的积分条件下,梯度 h-Ricci 孤立子的数量曲率消失的结果。

In this article, we study the results that the scalar curvature is constant when the scalar curvature of a gradient h-Ricci soliton has an upper bound. It also proved thatunder some integral conditions, the scalar curvature of gradient h-Ricci solitons mustbe vanished.